According to the text, Mitochondria possess a single circular DNA molecule , and Chloroplasts contain small, double-stranded circular DNA molecules . The Nucleus also contains DNA . Lysosomes and Vacuoles are part of the endomembrane system and are described as containing enzymes and water/sap respectively, without any mention of possessing their own DNA . Therefore, the pair Lysosomes and Vacuoles does not contain DNA.